Lattice simulations of the QCD chiral transition at real baryon density

We use the sign-reweighting method to simulate the QCD chiral transition at real baryon densities on phenomenologically relevant lattices. This avoids the severe limitations of extrapolating from zero or imaginary chemical potential and the overlap problem of traditional reweighting approaches, opening up a new window to reliably study hot and dense strongly interacting matter from first principle lattice simulations. We demonstrate that sign reweighting can reach up to a baryochemical potential-temperature ratio of mu B/T = 2.7, covering most of the Relativistic Heavy Ion Collider Beam Energy Scan range.